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Finding the Fourth Proportional to 51.92, 77.72 and 33.84

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Solution

The fourth proportional to 51.92, 77.72 and 33.84 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.92 : 77.72 = 33.84 : x
  2. Step 2: Convert to fraction form
    51.92/77.72 = 33.84/x
  3. Step 3: Cross multiply
    51.92x = 77.72 × 33.84
  4. Step 4: Simplify right side
    51.92x = 2,630.04
  5. Step 5: Solve for x
    x = 2,630.04/51.92
  6. Step 6: Final answer
    x = 50.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.